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• Set

Diff

Set difference.

Signature

(diff x y) → set

Arguments

x — Guard (setp x).

y — Guard (setp y).

Returns

set — Type (setp set).

Time complexity: O(n\log(m/n)) (where n < m).

Definitions and Theorems

Function: diff

(defun diff (x y)
  (declare (xargs :guard (and (setp x) (setp y))))
  (let ((__function__ 'diff))
    (declare (ignorable __function__))
    (tree-diff (sfix x) (sfix y))))

Theorem: setp-of-diff

(defthm setp-of-diff
  (b* ((set (diff x y))) (setp set))
  :rule-classes :rewrite)